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artcher [175]
2 years ago
6

11. In a gym the ratio of men to women with membership is 5:2. If the gym has 735 persons with membership, how many men will the

re be?
Mathematics
1 answer:
Doss [256]2 years ago
6 0

The ratio is 5:7 when you are dealing with total membership. In other words, out of every 7 members, 5 will be men and 2 will be women

The ratio will look like this

5:7 = x:735             change to a proportion

5/7 = x / 735          Cross Multiply

7*x = 5 * 735          Combine the right

7*x = 3675             Divide by 7

x = 3675/7             Divide

x = 525

Answer: 525 men

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Consider the function f left parenthesis x right parenthesis equals 3 x squared minus 5 x minus 2f(x)=3x2−5x−2 and complete part
GuDViN [60]

Given f(x)=3x²-5x-2

a) To find f(a+h) replace x with a+h in the given function. So,

f(a+h)=3(a+h)²-5(a+h)-2

=3(a²+2ah+h²)-5(a+h)-2 By using the formula (x+y)²=x²+2xy+y².

=3a²+6ah+3h²-5a-5h-2 By distributing property.

b) Similarly to find f(a) we need to replace x with a. So,

f(a)=3a²-5a-2

So, f(a+h)-f(h)= (3a²+6ah+3h²-5a-5h-2)-(3a²-5a-2)

=3a²+6ah+3h²-5a-5h-2-3a²+5a+2.

=6ah+3h^2-5h (All other terms has been cancel out)

8 0
2 years ago
The table below shows the population of a town over x years. A 2-column table with 5 rows. The first column is labeled years wit
mel-nik [20]

Answer:

10,346.0(1.1)^x

112,096 people

Step-by-step explanation:

edg

8 0
2 years ago
Read 2 more answers
The equation 1.5r + 15 = 2.25r represents the number r of movies you must rent to spend the same amount at each movie store. how
EleoNora [17]
1.5r+15=2.25r
First of all, you have to arrange the numbers according to those similar to them. So that will be;
15=2.25r-1.5r
1.5r is subtracted from 2.25r because it crossed over an equality sign to get its position close to 2.25r. And when a number crosses over an equality sign, the sign on the number chages to the opposite. 1.5r has an invisible positive sign which became negative when it crossed. Anyway;
2.25r-1.5r is the same as 2.25-1.5. And that is 0.75r
  Therefore;
15=0.75r
To find out what r is, you have to divide the both sides by 0.75. This is done to remove the 0.75 close to r to finally reveal what r is. Anyway;
15/0.75=0.75r/0.75
15 divided by 0.75 is 20. And 0.75r divided by  0.75 is r. So;
20=r
r=20. So the answer is 20 movies. Hope i helped. Have a nice day.
4 0
2 years ago
The Ignorance Survey: United Kingdom A survey was conducted in the United Kingdom, where respondents were asked if they had a un
lukranit [14]

Answer:

Here we have given two catogaries as degree holder and non degree holder.

So here we have to test the hypothesis that,

H0 : p1 = p2 Vs H1 : p1 not= p2

where p1 is population proportion of degree holder.

p2 is population proportion of non degree holder.

Assume alpha = level of significance = 5% = 0.05

The test is two tailed.

Here test statistic follows standard normal distribution.

The test statistic is,

Z = (p1^ - p2^) / SE

where SE = sqrt[(p^*q^)/n1 + (p^*q^)/n2]

p1^ = x1/n1

p2^ = x2/n2

p^ = (x1+x2) / (n1+n2)

This we can done in TI_83 calculator.

steps :

STAT --> TESTS --> 6:2-PropZTest --> ENTER --> Input all the values --> select alternative "not= P2" --> ENTER --> Calculate --> ENTER

Test statistic Z = 1.60

P-value = 0.1090

P-value > alpha

Fail to reject H0 or accept H0 at 5% level of significance.

Conclusion : There is not sufficient evidence to say that  the percent of correct answers is significantly different between degree holders and non-degree holders.

7 0
2 years ago
Which of the following gives all of the sets that contain -1/2?
fiasKO [112]
ANSWER


The set of all rational numbers and the set of all real numbers.


EXPLANATION

The set of rational numbers contains all numbers that can be written in the form,


\frac{a}{b}


where a and b are integers and b≠0.


The given number is

-  \frac{1}{2}


It belongs to the set of rational numbers.


The set of rational numbers is a subset of the set of real numbers.

Hence

-  \frac{1}{2}
also belongs to the set of real numbers.


The correct answer is A.
3 0
2 years ago
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